(x-1)(u+3)=1

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Solution for (x-1)(u+3)=1 equation:


Simplifying
(x + -1)(u + 3) = 1

Reorder the terms:
(-1 + x)(u + 3) = 1

Reorder the terms:
(-1 + x)(3 + u) = 1

Multiply (-1 + x) * (3 + u)
(-1(3 + u) + x(3 + u)) = 1
((3 * -1 + u * -1) + x(3 + u)) = 1
((-3 + -1u) + x(3 + u)) = 1
(-3 + -1u + (3 * x + u * x)) = 1

Reorder the terms:
(-3 + -1u + (ux + 3x)) = 1
(-3 + -1u + (ux + 3x)) = 1
(-3 + -1u + ux + 3x) = 1

Solving
-3 + -1u + ux + 3x = 1

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + -1u + ux + 3 + 3x = 1 + 3

Reorder the terms:
-3 + 3 + -1u + ux + 3x = 1 + 3

Combine like terms: -3 + 3 = 0
0 + -1u + ux + 3x = 1 + 3
-1u + ux + 3x = 1 + 3

Combine like terms: 1 + 3 = 4
-1u + ux + 3x = 4

Add '-3x' to each side of the equation.
-1u + ux + 3x + -3x = 4 + -3x

Combine like terms: 3x + -3x = 0
-1u + ux + 0 = 4 + -3x
-1u + ux = 4 + -3x

Reorder the terms:
-4 + -1u + ux + 3x = 4 + -3x + -4 + 3x

Reorder the terms:
-4 + -1u + ux + 3x = 4 + -4 + -3x + 3x

Combine like terms: 4 + -4 = 0
-4 + -1u + ux + 3x = 0 + -3x + 3x
-4 + -1u + ux + 3x = -3x + 3x

Combine like terms: -3x + 3x = 0
-4 + -1u + ux + 3x = 0

The solution to this equation could not be determined.

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